A level maths formulae questions and answers with complete solutions

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A level maths formulae questions and answers with complete solutions arithmetic sequence geometric sequence sum of arithmetic sequence 1 n/2(2a + (n-1)d) sum of arithmetic sequence 2 n/2(a + l)... (l= last term) sum of geometric sequence sum to infinity 2π 360 degrees 1 radian 180/π π 180 degrees π/6 30 degrees π/3 60 degrees π/4 45 degrees π/2 90 degrees sinπ/6 1/2 sinπ/3 √3/2 sinπ/4 √2/2 cosπ/6 √3/2 cosπ/3 1/2 cosπ/4 √2/2 tanπ/6 √3/3 tanπ/3 √(3) tanπ/4 1 sin(π - θ) sinθ sin(π + θ) -sinθ sin(2π - θ) -sinθ cos(π + θ) -cosθ cos(π - θ) -cosθ cos(2π - θ) cosθ tan(π - θ) -tanθ tan(π + θ) tanθ tan(2π - θ) -tanθ arc length l = rθ area of sector 1/2 r2 θ area of segment when θ is small sinθ sinθ = θ when θ is small tanθ tanθ= θ when θ is small cosθ cosθ= 1-θ^2/2 secx 1/cosx cosecx 1/sinx cotx 1/tanx cotx (in terms of sin and cos) cosx/sinx y = secx graph y = cosecx graph range of y=secx y ≥ 1 or y ≤ -1 range of y=cosecx y ≥ 1 or y ≤ -1 y=cotx graph 1 + tan^2x = sec^2x 1 + cot^2x = cosec^2x y = arcsinx graph y=arccosx graph y= arctanx graph sin(A + B) = sinAcosB + cosAsinB cos(A + B) = cosAcosB-sinAsinB tan(A+B) = tanA + tanB / 1 - tanAtanB sin(180 - θ) sinθ cos(180 - θ) -cosθ tan(180 - θ) -tanθ tan(180 + θ) tanθ sin30 1/2 cos30 √3/2 tan30 √3/3 sin45 √2/2 cos45 √2/2 tan45 1 sin60 √3/2 cos60 1/2 tan60 √3 sin45 (in terms of cos) cos45 sin30 (in terms of cos) cos60 cos^2x + sin^2x = 1 unit vector f'(x) first principals f(x + h) - f(x) / h if f(x) = e^x f'(x) = e^x f(x) = e^kx f'(x) = ke^kx sin2A = 2sinAcosA cos2A = cos^2A-sin^2A cos2A = (in terms of cosA only) 2cos^2A - 1 cos2A = (in terms of sinA only) 1 - 2sin^2A tan2A = 2tanA/1-tan^2A [Show More]

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